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- Algebraic Bethe ansatz for the totally asymmetric simple exclusion process with boundaries doi link

Auteur(s): Crampé N.

(Article) Publié: Journal Of Physics A: Mathematical And Theoretical, vol. 48 p.08FT01 (2015)
Texte intégral en Openaccess : arxiv


Ref HAL: hal-01110888_v1
Ref Arxiv: 1411.7954
DOI: 10.1088/1751-8113/48/8/08FT01
WoS: 000349100100001
Ref. & Cit.: NASA ADS
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Résumé:

We study the one-dimensional totally asymmetric simple exclusion process in contact with two reservoirs including also a fugacity at one boundary. The eigenvectors and the eigenvalues of the corresponding Markov matrix are computed using the modified algebraic Bethe ansatz, method introduced recently to study the spin chain with non-diagonal boundaries. We provide in this case a proof of this method.